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Question

Question 1
Find the radius of a circle whose circumference is equal to the sum of the circumference of two circles of radii 15 cm and 18 cm.

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Solution

Let the radius of a circle be r.

Circumference of a circle =2πr

Let the radii of two circles are r1 and r2 whose values are 15 cm and 18 cm, respectively .

r1=15 cm, r2=18 cm

Now, by given condition,

Circumference of circle = Circumference of first circle + Circumference of second circle

2πr=2πr1+2πr2

r=r1+r2

r=15+18

r=33 cm

Hence, required radius of a circle is 33 cm.

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